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220132431 = 338153053
BaseRepresentation
bin11010001111011…
…11010001001111
3120100012212221000
431013233101033
5422323214211
633502111343
75312044341
oct1507572117
9510185830
10220132431
11103293832
126187b553
13367b5a9c
1421343291
15144d4656
hexd1ef44f

220132431 has 8 divisors (see below), whose sum is σ = 326122160. Its totient is φ = 146754936.

The previous prime is 220132427. The next prime is 220132489. The reversal of 220132431 is 134231022.

220132431 is a `hidden beast` number, since 2 + 201 + 32 + 431 = 666.

It is not a de Polignac number, because 220132431 - 22 = 220132427 is a prime.

It is a super-2 number, since 2×2201324312 = 96916574355939522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220132411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4076500 + ... + 4076553.

It is an arithmetic number, because the mean of its divisors is an integer number (40765270).

Almost surely, 2220132431 is an apocalyptic number.

220132431 is a deficient number, since it is larger than the sum of its proper divisors (105989729).

220132431 is an equidigital number, since it uses as much as digits as its factorization.

220132431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8153062 (or 8153056 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 220132431 is about 14836.8605506691. The cubic root of 220132431 is about 603.8021798195.

Adding to 220132431 its reverse (134231022), we get a palindrome (354363453).

It can be divided in two parts, 220 and 132431, that added together give a cube (132651 = 513).

The spelling of 220132431 in words is "two hundred twenty million, one hundred thirty-two thousand, four hundred thirty-one".

Divisors: 1 3 9 27 8153053 24459159 73377477 220132431